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Coupled Systems Mechanics
  Volume 7, Number 5, October 2018 , pages 611-626

Ocean tide-induced secular variation in the Earth-Moon dynamics
Natsuki Uchida and Hiroyuki Shima

    We theoretically consider a possible influence of periodic oceanic tides on non-periodic changes in the dynamics of the Earth and Moon over a long time scale. A particular emphasis will be placed on the contribution from rotating tidal waves, which rotate along the inner edge of an oceanic basin surrounded by topographic boundary. We formulate the angular momentum and the mechanical energy of the rotating tidal wave in terms of celestial parameters with regard to the Earth and Moon. The obtained formula are used to discuss how the energy dissipation in the rotating tidal wave should be relevant to the secular variation in the Earth\'s spin rotation and the Earth-Moon distance. We also discuss the applicability of the formula to general oceanic binary planets subject to tidal coupling.
Key Words
    ocean tide; tidal energy dissipation; Kelvin wave; celestial mechanics; lunar orbit
Natsuki Uchida and Hiroyuki Shima: Department of Environmental Sciences, University of Yamanashi, 4-4-37, Takeda, Kofu, Yamanashi 400-8510, Japan

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